Details

sample143.0ms

Algorithm

intervals

Results

42.0ms	104×	body	320	valid
21.0ms	270×	body	80	nan
21.0ms	526×	pre	80	true
16.0ms	99×	body	160	valid
6.0ms	19×	body	640	valid
3.0ms	34×	body	80	valid

simplify116.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	120
5	120
4	112
3	83
2	42
1	22
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
26.6b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

14.0ms	(- (* b b) (* (* 3.0 a) c))
78.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms	(* (* 3.0 a) c)
36.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* b b) (* (* 3.0 a) c))
155.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms	(* (* 3.0 a) c)
92.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2801
1	471
0	167

prune768.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune86.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 84

Calls

3 calls:

15.0ms	(/ (* a c) b)
33.0ms	(* -1.5 (/ (* a c) b))
26.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series101.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* a c) b)
30.0ms	(* -1.5 (/ (* a c) b))
44.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2851
1	401
0	129

prune582.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.3b	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
0.4b	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
14×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`cbrt-undiv` `times-frac` `div-exp` `associate-r`
9×	`pow1`
8×	`sqrt-div`
7×	`associate-/r*` `sqrt-prod`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/l*` `associate-/l/`
2×	`frac-times` `associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 106

Calls

4 calls:

8.0ms	(/ (* a c) b)
7.0ms	(/ (* a c) b)
87.0ms	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
106.0ms	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

series232.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* a c) b)
36.0ms	(/ (* a c) b)
117.0ms	(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
49.0ms	(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))

simplify1.8s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	3280
1	424
0	145

prune651.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.8b

regimes1.2s

Accuracy

13.2% (3.1b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 6.3b

bsearch3.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	38
1	38
0	29

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	3556×	body	320	valid
662.0ms	7976×	body	80	nan
643.0ms	15976×	pre	80	true
444.0ms	2995×	body	160	valid
146.0ms	532×	body	640	valid
92.0ms	917×	body	80	valid